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### Number and algebra

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# Order the Products

Without calculating the five products below, put them in order of size, from smallest to largest.

*This problem is taken from the World Mathematics Championships*

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Age 14 to 16

ShortChallenge Level

- Problem
- Solutions

Without calculating the five products below, put them in order of size, from smallest to largest.

210$\times$190 | 198$\times$202 | 200$\times$200 |

195$\times$205 | 186$\times$214 |

You can find more short problems, arranged by curriculum topic, in our short problems collection.

A 2-Digit number is squared. When this 2-digit number is reversed and squared, the difference between the squares is also a square. What is the 2-digit number?

The squares of any 8 consecutive numbers can be arranged into two sets of four numbers with the same sum. True of false?

Can you explain the surprising results Jo found when she calculated the difference between square numbers?